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A CUMULATIVE RESIDUAL INACCURACY MEASURE FOR COHERENT SYSTEMS AT COMPONENT LEVEL AND UNDER NONHOMOGENEOUS POISSON PROCESSES

Published online by Cambridge University Press:  11 December 2020

Vanderlei da Costa Bueno  and
Narayanaswamy Balakrishnan
Vanderlei da Costa Bueno
Affiliation:
Institute of Mathematics and Statistics, São Paulo University, São Paulo, Brazil E-mail: bueno@ime.usp.br
Narayanaswamy Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, OntarioL8S 4LS, Canada E-mail: bala@mcmaster.ca
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Abstract

Inaccuracy and information measures based on cumulative residual entropy are quite useful and have attracted considerable attention in many fields including reliability theory. Using a point process martingale approach and a compensator version of Kumar and Taneja's generalized inaccuracy measure of two nonnegative continuous random variables, we define here an inaccuracy measure between two coherent systems when the lifetimes of their common components are observed. We then extend the results to the situation when the components in the systems are subject to failure according to a double stochastic Poisson process.

Keywords

coherent systemcumulative residual inaccuracy measurejoint signature point processminimal repairnonhomogeneous Poisson processsignature point process
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 2 , April 2022 , pp. 294 - 319
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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